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Finding the Fourth Proportional to 6,507.83, 9,760.84 and 2,347.27

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Solution

The fourth proportional to 6,507.83, 9,760.84 and 2,347.27 is: 3,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.83 : 9,760.84 = 2,347.27 : x
  2. Step 2: Convert to fraction form
    6,507.83/9,760.84 = 2,347.27/x
  3. Step 3: Cross multiply
    6,507.83x = 9,760.84 × 2,347.27
  4. Step 4: Simplify right side
    6,507.83x = 22,911,296.64
  5. Step 5: Solve for x
    x = 22,911,296.64/6,507.83
  6. Step 6: Final answer
    x = 3,520.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.